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Finding the Fourth Proportional to 291.89, 402.63 and 209.09

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Solution

The fourth proportional to 291.89, 402.63 and 209.09 is: 288.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    291.89 : 402.63 = 209.09 : x
  2. Step 2: Convert to fraction form
    291.89/402.63 = 209.09/x
  3. Step 3: Cross multiply
    291.89x = 402.63 × 209.09
  4. Step 4: Simplify right side
    291.89x = 84,185.91
  5. Step 5: Solve for x
    x = 84,185.91/291.89
  6. Step 6: Final answer
    x = 288.42

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.